Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 469, 603, 299, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 469, 603, 299, 804 is 1
GCD(469, 603, 299, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 469, 603, 299, 804 is 1
GCD(469, 603, 299, 804) = 1
Given Input numbers are 469, 603, 299, 804
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 469, 603, 299, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 603, 299, 804 is 1.
Therefore, GCD of numbers 469, 603, 299, 804 is 1
Given Input Data is 469, 603, 299, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 469 is 7 x 67
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 299 is 13 x 23
Prime Factorization of 804 is 2 x 2 x 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(469, 603) = 4221
GCD(469, 603) = ( 469 x 603 ) / 4221
GCD(469, 603) = 282807 / 4221
GCD(469, 603) = 67
Step2:
Here we consider the GCD from the above i.e. 67 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(67, 299) = 20033
GCD(67, 299) = ( 67 x 299 ) / 20033
GCD(67, 299) = 20033 / 20033
GCD(67, 299) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 469, 603, 299, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 469, 603, 299, 804?
GCD of 469, 603, 299, 804 is 1
2. Where do I get the detailed procedure to find GCD of 469, 603, 299, 804?
You can find a detailed procedure to find GCD of 469, 603, 299, 804 on our page.
3. How to find GCD of 469, 603, 299, 804 on a calculator?
You can find the GCD of 469, 603, 299, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.